Data.Utils.Statistics

This module provides utilities for working with statistics.

Documentation

data Probability a

A type for representing probabilities.

Instances

Functor Probability

Methods

fmap :: (a -> b) -> Probability a -> Probability b

(<$) :: a -> Probability b -> Probability a

Eq a => Eq (Probability a)

Methods

(==) :: Probability a -> Probability a -> Bool

(/=) :: Probability a -> Probability a -> Bool

Num a => Num (Probability a)

Methods

(+) :: Probability a -> Probability a -> Probability a

(-) :: Probability a -> Probability a -> Probability a

(*) :: Probability a -> Probability a -> Probability a

negate :: Probability a -> Probability a

abs :: Probability a -> Probability a

signum :: Probability a -> Probability a

fromInteger :: Integer -> Probability a

Ord a => Ord (Probability a)

Methods

compare :: Probability a -> Probability a -> Ordering

(<) :: Probability a -> Probability a -> Bool

(<=) :: Probability a -> Probability a -> Bool

(>) :: Probability a -> Probability a -> Bool

(>=) :: Probability a -> Probability a -> Bool

max :: Probability a -> Probability a -> Probability a

min :: Probability a -> Probability a -> Probability a

Read a => Read (Probability a)

Methods

readsPrec :: Int -> ReadS (Probability a)

readList :: ReadS [Probability a]

readPrec :: ReadPrec (Probability a)

readListPrec :: ReadPrec [Probability a]

Show a => Show (Probability a)

Methods

showsPrec :: Int -> Probability a -> ShowS

show :: Probability a -> String

showList :: [Probability a] -> ShowS

NFData a => NFData (Probability a)

Methods

rnf :: Probability a -> ()

probability :: RealFloat a => a -> Probability a

Smart constructor for probabilities.

>>> probability (0.7 :: Double)
Probability {fromProbability = 0.7}

>>> probability (1.2 :: Double)
Probability {fromProbability = 1.0}

>>> probability (-0.3 :: Double)
Probability {fromProbability = 0.0}

fromProbability :: Probability a -> a

the wrapped number

countMeanVar :: forall a. Fractional a => [a] -> (Int, a, a)

Returns number of elements, mean and variance of a collection of elements.

>>> countMeanVar [1, 2, 3, 4 :: Float]
(4,2.5,1.25)

mean :: forall a. Fractional a => [a] -> a

Calculates the mean of a collection of elements.

>>> mean [1 .. 5 :: Float]
3.0

auc :: Ord a => [(a, Bool)] -> Probability Double

Calculates the area under the curve.

>>> auc [(1, False), (2, True), (3, False), (4, True), (5, False), (6, True), (7, True)]
Probability {fromProbability = 0.75}

auc' :: forall a b. (Ord a, Fractional b) => [(a, b, Bool)] -> b

Calculates the area under the curve for weighted samples.

>>> auc' [(1, (1 :: Double), False), (2, 0.5, True), (3, 1, False), (4, 1, True), (5, 1, False), (6, 1, True), (7, 1, True)]
0.8095238095238095

round' :: Int -> Double -> Double

Rounds a Double to the specified number of decimals.

>>> round' 3 (2/3)
0.667